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Finding the Third Proportional to 31,432 and 42,713

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Solution

The third proportional to 31,432 and 42,713 is: 58,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432 : 42,713 = 42,713 : x
  2. Step 2: Convert to fraction form
    31,432/42,713 = 42,713/x
  3. Step 3: Cross multiply
    31,432x = 42,713 × 42,713
  4. Step 4: Simplify right side
    31,432x = 1,824,400,369
  5. Step 5: Solve for x
    x = 1,824,400,369/31,432
  6. Step 6: Final answer
    x = 58,042.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.